Answer:
To find the ratio m/k, we need to combine the proportions m/n and n/k. One way to do this is to multiply the fractions to get the product m/k. This can be done by multiplying the numerators to get m, then multiplying the denominators to get k.
For example, if we let m=1, n=2, and k=5, then we have the following:
m/n = 1/2
n/k = 2/5
If we multiply the numerators and denominators to get the product m/k, we get:
(1 * 2) / (2 * 5) = 2/10 = 1/5
Therefore, the ratio m/k is 1/5.
Another way to find the ratio m/k is to use the fact that proportions are equivalent to equations. We can set up an equation using the given proportions, then solve for m/k.
For example, using the same values as before, we have:
m/n = 1/2
n/k = 2/5
We can set up an equation by setting the two proportions equal to each other:
m/n = (1/2) = n/k = (2/5)
Then we can cross-multiply to solve for m/k:
m/n * n/k = (1/2) * (2/5)
(m * 2) / (n * 5) = 1/5
m/k = (2/5) = 1/5
Therefore, in this case, the ratio m/k is also 1/5.
In general, to find the ratio m/k given the proportions m/n and n/k, we can either multiply the fractions or set up and solve an equation using the given proportions.